114915120 has 40 divisors (see below), whose sum is σ = 356237616. Its totient is φ = 30643968.

The previous prime is 114915091. The next prime is 114915131. The reversal of 114915120 is 21519411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×114915120² = 26410969609228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239167 + ... + 239646.

Almost surely, 2^114915120 is an apocalyptic number.

114915120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114915120 is an abundant number, since it is smaller than the sum of its proper divisors (241322496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114915120 is a wasteful number, since it uses less digits than its factorization.

114915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478829 (or 478823 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 114915120 is about 10719.8470138337. The cubic root of 114915120 is about 486.1747411407.

The spelling of 114915120 in words is "one hundred fourteen million, nine hundred fifteen thousand, one hundred twenty".